A grid is shown with a rectangle drawn on it. The rectangle is 7 units long and 3 units wide, labeled with 7 and 3 respectively.

Question

Scale: 1 box = 4 inches

Ana Maria needs to convert this scale drawing from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches. The width in the scale drawing shown is 3 boxes. What will be the width in boxes of the new drawing?

(1 point)
Responses

14
14

1.5
1.5

6
6

9
9

Answer 1

To determine the width in boxes of the new drawing with the scale changed from 1 box = 4 inches to 1 box = 2 inches, we first need to understand the relationship between the scales and how they convert.

The given width is 3 boxes at the scale of 1 box = 4 inches. To find out the current width in inches, we multiply:

• Width in inches = 3 boxes × 4 inches/box = 12 inches

Now, we need to convert this length into the new scale of 1 box = 2 inches. We do this by dividing the total inches by the new scale:

• Width in boxes at the new scale = 12 inches ÷ 2 inches/box = 6 boxes

Thus, the width in boxes of the new drawing will be 6.

So, the correct response is: 6